The Number of Patents Issued for a Certain Product Between

question 10

Multiple Choice

The number of patents issued for a certain product between 1950 and 1970 was increasing with respect to time at a rate jointly proportional to the number of patents already obtained and to the difference between the number of patents already obtained and the carrying capacity of the system. The carrying capacity was approximately 5000 patents, and the constant of proportionality was about 0.0003. By 1960, 2000 patents had been obtained. Write a differential equation describing the rate of change in the number of patents with respect to the number of years since 1950.

• A) patents per year
• B) patents per year
• C) patents per year
• D) patents per year
• E) patents per year

---

Definitions:

U.S. Department of Health

A federal government department that focuses on protecting and promoting the health and well-being of the American population.

Human Services

A field focused on meeting human needs through an interdisciplinary knowledge base, focusing on prevention as well as remediation of problems, and maintaining a commitment to improving the overall quality of life of service populations.

Ethnic Minorities

are groups of people who differ in race or color or in national, religious, or cultural origin from the dominant population.

European Americans

Individuals in the United States who trace their ancestry to Europe, forming one of the various ethnic groups in the country.